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1065090000 = 24354132731
BaseRepresentation
bin111111011110111…
…111101111010000
32202020011011210210
4333132333233100
54140130340000
6253404324120
735252054442
oct7736775720
92666134723
101065090000
114a7240977
12258843640
1313c879b90
14a1652492
156378c350
hex3f7bfbd0

1065090000 has 200 divisors, whose sum is σ = 3704089312. Its totient is φ = 262080000.

The previous prime is 1065089999. The next prime is 1065090017. The reversal of 1065090000 is 905601.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×10650900002 = 2268833416200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 388635 + ... + 391365.

Almost surely, 21065090000 is an apocalyptic number.

1065090000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852044656).

1065090000 is an abundant number, since it is smaller than the sum of its proper divisors (2638999312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1065090000 is a wasteful number, since it uses less digits than its factorization.

1065090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1065090000 is about 32635.7166307100. The cubic root of 1065090000 is about 1021.2422388893.

Adding to 1065090000 its reverse (905601), we get a palindrome (1065995601).

The spelling of 1065090000 in words is "one billion, sixty-five million, ninety thousand".